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What is the Least Common Multiple of 31173 and 31182?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 31173 and 31182 is 324012162.

LCM(31173,31182) = 324012162

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Least Common Multiple of 31173 and 31182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31173 and 31182, than apply into the LCM equation.

GCF(31173,31182) = 3
LCM(31173,31182) = ( 31173 × 31182) / 3
LCM(31173,31182) = 972036486 / 3
LCM(31173,31182) = 324012162

Least Common Multiple (LCM) of 31173 and 31182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31173 and 31182. First we will calculate the prime factors of 31173 and 31182.

Prime Factorization of 31173

Prime factors of 31173 are 3, 10391. Prime factorization of 31173 in exponential form is:

31173 = 31 × 103911

Prime Factorization of 31182

Prime factors of 31182 are 2, 3, 5197. Prime factorization of 31182 in exponential form is:

31182 = 21 × 31 × 51971

Now multiplying the highest exponent prime factors to calculate the LCM of 31173 and 31182.

LCM(31173,31182) = 31 × 103911 × 21 × 51971
LCM(31173,31182) = 324012162